749137920 has 208 divisors, whose sum is σ = 2441573280. Its totient is φ = 196083712.

The previous prime is 749137901. The next prime is 749137933. The reversal of 749137920 is 29731947.

It is a super-2 number, since 2×749137920² = 1122415246363852800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5468092 + ... + 5468228.

Almost surely, 2^749137920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220786640).

749137920 is an abundant number, since it is smaller than the sum of its proper divisors (1692435360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

749137920 is a wasteful number, since it uses less digits than its factorization.

749137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 749137920 is about 27370.3839943834. The cubic root of 749137920 is about 908.2120511039.

It can be divided in two parts, 749137 and 920, that added together give a palindrome (750057).

The spelling of 749137920 in words is "seven hundred forty-nine million, one hundred thirty-seven thousand, nine hundred twenty".